Multiple choice

A series is given as 6, 3, 3, 4.5, 9, 22.5, \dots and its pth term is 4252.5. Find the value of p.

  1. 10

  2. 11

  3. 9

  4. 8

  5. 12
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A Correct answer
Explanation

Pattern: Terms at odd positions (1,3,5,...) are divided by 2. Terms at even positions (2,4,6,...) are multiplied by consecutive odd integers (1,3,5,...) starting from the previous term. T1=6, T2=6×1=6 (but series shows 3), so pattern divides odd positions by 2. T3=3×1=3, T4=3×3/2=4.5, T5=4.5×2=9, T6=9×5/2=22.5. This gives T10 = 4252.5.

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